Amin, MuhammadAbbas, MuhammadIqbal, Muhammad KashifIsmail, Ahmad Izani Md.Baleanu, Dumitru2020-04-282020-04-282019Amin, Muhammad...et al. (2019) "A Fourth Order Non-Polynomial Quintic Spline Collocation Technique for Solving Time Fractional Superdiffusion Equations", Advances in Difference Equations, Vol. 2019, No. 1.16871839http://hdl.handle.net/20.500.12416/3488The purpose of this article is to present a technique for the numerical solution of Caputo time fractional superdiffusion equation. The central difference approximation is used to discretize the time derivative, while non-polynomial quintic spline is employed as an interpolating function in the spatial direction. The proposed method is shown to be unconditionally stable and O(h4+ Δ t2) accurate. In order to check the feasibility of the proposed technique, some test examples have been considered and the simulation results are compared with those available in the existing literature. © 2019, The Author(s).eninfo:eu-repo/semantics/openAccessCaputo Time Fractional DerivativeFinite Central Difference ApproachNon-Polynomial Quintic SplineSuperdiffusion EquationArticle2019110.1186/s13662-019-2442-4